By F.D. Kamareddine,T. Laan,Rob Nederpelt
- varieties: from Russell to Ramsey, to Church, to the trendy natural kind structures and a few in their extensions.
- features: from Frege, to Russell to Church, to Automath and using capabilities in arithmetic, programming languages and theorem provers.
- The function of sorts in good judgment: Kripke's suggestion of fact, the evolution and position of the propositions as forms notion and its use in logical frameworks.
- The function of varieties in computation: extensions of variety theories that can higher version facts checkers and programming languages are given.
The first a part of the ebook is ancient, but even as, locations historic structures (like Russell's RTT) within the sleek surroundings. the second one half bargains with sleek kind concept because it constructed because the Forties, and with the position of propositions as kinds (or proofs as terms), yet while, locations one other old approach (the evidence checker Automath) within the smooth surroundings. The 3rd half makes use of this bridging within the first elements among ancient and glossy structures to suggest new platforms that deliver extra benefits jointly. This ebook has a lot to provide to mathematicians, logicians and to laptop scientists quite often. it's going to have enormous effect for a few years to come.' - Henk Barendregt
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Additional info for A Modern Perspective on Type Theory: From Its Origins Until Today: 29 (Applied Logic Series)
A Modern Perspective on Type Theory: From Its Origins Until Today: 29 (Applied Logic Series) by F.D. Kamareddine,T. Laan,Rob Nederpelt